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2302100113 is a prime number
BaseRepresentation
bin1000100100110111…
…0100001010010001
312221102210210200011
42021031310022101
514203314200423
61020233554521
7111022346065
oct21115641221
95842723604
102302100113
11a81525985
12542b75a41
132a8c2c021
1417ba57aa5
15d7188b0d
hex89374291

2302100113 has 2 divisors, whose sum is σ = 2302100114. Its totient is φ = 2302100112.

The previous prime is 2302100093. The next prime is 2302100179. The reversal of 2302100113 is 3110012032.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1841439744 + 460660369 = 42912^2 + 21463^2 .

It is a cyclic number.

It is not a de Polignac number, because 2302100113 - 25 = 2302100081 is a prime.

It is a super-2 number, since 2×23021001132 = 10599329860549225538, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2302100093 and 2302100102.

It is not a weakly prime, because it can be changed into another prime (2302107113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1151050056 + 1151050057.

It is an arithmetic number, because the mean of its divisors is an integer number (1151050057).

Almost surely, 22302100113 is an apocalyptic number.

It is an amenable number.

2302100113 is a deficient number, since it is larger than the sum of its proper divisors (1).

2302100113 is an equidigital number, since it uses as much as digits as its factorization.

2302100113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 2302100113 is about 47980.2054289058. The cubic root of 2302100113 is about 1320.4077621868.

Adding to 2302100113 its reverse (3110012032), we get a palindrome (5412112145).

The spelling of 2302100113 in words is "two billion, three hundred two million, one hundred thousand, one hundred thirteen".